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Volume :39 Issue : 2 2012
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A generalization of Bernoulli learning models
Auther : B. S. EL-DESOUKY AND K. M. MAHFOUZ
ABSTRACT
In this article we derive a generalization of Bernoulli learning model. We study the generalized Bernoulli learning model based on the probability of success ,where and are positive integers, which gives the two previous results given by Abdulnasser Khidr (1981) and Rashad (1998) as special cases, where and , respectively. The limiting distribution of the model is given. A Maple program is written and executed to find the probabilities of the model.
Keywords: Stirling number; Uppuluri numbers; Pascal's triangle; Bernoulli learning models; Maple program.